Data assimilation for moving mesh methods with an application to ice sheet modelling
We develop data assimilation techniques for non-linear dynamical systems modelled by moving mesh methods. Such techniques are valuable for explicitly tracking interfaces and boundaries in evolving systems. The unique aspect of these assimilation techniques is that both the states of the system and t...
Published in: | Nonlinear Processes in Geophysics |
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Language: | English |
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Copernicus Publications
2017
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00009077 2023-05-15T16:39:47+02:00 Data assimilation for moving mesh methods with an application to ice sheet modelling Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale 2017-09 electronic https://doi.org/10.5194/npg-24-515-2017 https://noa.gwlb.de/receive/cop_mods_00009077 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00009034/npg-24-515-2017.pdf https://npg.copernicus.org/articles/24/515/2017/npg-24-515-2017.pdf eng eng Copernicus Publications Nonlinear Processes in Geophysics -- http://www.bibliothek.uni-regensburg.de/ezeit/?2078085 -- http://www.nonlin-processes-geophys.net/ -- http://www.copernicus.org/EGU/npg/npg.htm -- 1607-7946 https://doi.org/10.5194/npg-24-515-2017 https://noa.gwlb.de/receive/cop_mods_00009077 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00009034/npg-24-515-2017.pdf https://npg.copernicus.org/articles/24/515/2017/npg-24-515-2017.pdf uneingeschränkt info:eu-repo/semantics/openAccess article Verlagsveröffentlichung article Text doc-type:article 2017 ftnonlinearchiv https://doi.org/10.5194/npg-24-515-2017 2022-02-08T22:57:45Z We develop data assimilation techniques for non-linear dynamical systems modelled by moving mesh methods. Such techniques are valuable for explicitly tracking interfaces and boundaries in evolving systems. The unique aspect of these assimilation techniques is that both the states of the system and the positions of the mesh points are updated simultaneously using physical observations. Covariances between states and mesh points are generated either by a correlation structure function in a variational context or by ensemble methods. The application of the techniques is demonstrated on a one-dimensional model of a grounded shallow ice sheet. It is shown, using observations of surface elevation and/or surface ice velocities, that the techniques predict the evolution of the ice sheet margin and the ice thickness accurately and efficiently. This approach also allows the straightforward assimilation of observations of the position of the ice sheet margin. Article in Journal/Newspaper Ice Sheet Niedersächsisches Online-Archiv NOA Nonlinear Processes in Geophysics 24 3 515 534 |
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Open Polar |
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Niedersächsisches Online-Archiv NOA |
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ftnonlinearchiv |
language |
English |
topic |
article Verlagsveröffentlichung |
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article Verlagsveröffentlichung Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale Data assimilation for moving mesh methods with an application to ice sheet modelling |
topic_facet |
article Verlagsveröffentlichung |
description |
We develop data assimilation techniques for non-linear dynamical systems modelled by moving mesh methods. Such techniques are valuable for explicitly tracking interfaces and boundaries in evolving systems. The unique aspect of these assimilation techniques is that both the states of the system and the positions of the mesh points are updated simultaneously using physical observations. Covariances between states and mesh points are generated either by a correlation structure function in a variational context or by ensemble methods. The application of the techniques is demonstrated on a one-dimensional model of a grounded shallow ice sheet. It is shown, using observations of surface elevation and/or surface ice velocities, that the techniques predict the evolution of the ice sheet margin and the ice thickness accurately and efficiently. This approach also allows the straightforward assimilation of observations of the position of the ice sheet margin. |
format |
Article in Journal/Newspaper |
author |
Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale |
author_facet |
Bonan, Bertrand Nichols, Nancy K. Baines, Michael J. Partridge, Dale |
author_sort |
Bonan, Bertrand |
title |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_short |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_full |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_fullStr |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_full_unstemmed |
Data assimilation for moving mesh methods with an application to ice sheet modelling |
title_sort |
data assimilation for moving mesh methods with an application to ice sheet modelling |
publisher |
Copernicus Publications |
publishDate |
2017 |
url |
https://doi.org/10.5194/npg-24-515-2017 https://noa.gwlb.de/receive/cop_mods_00009077 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00009034/npg-24-515-2017.pdf https://npg.copernicus.org/articles/24/515/2017/npg-24-515-2017.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
Nonlinear Processes in Geophysics -- http://www.bibliothek.uni-regensburg.de/ezeit/?2078085 -- http://www.nonlin-processes-geophys.net/ -- http://www.copernicus.org/EGU/npg/npg.htm -- 1607-7946 https://doi.org/10.5194/npg-24-515-2017 https://noa.gwlb.de/receive/cop_mods_00009077 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00009034/npg-24-515-2017.pdf https://npg.copernicus.org/articles/24/515/2017/npg-24-515-2017.pdf |
op_rights |
uneingeschränkt info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/npg-24-515-2017 |
container_title |
Nonlinear Processes in Geophysics |
container_volume |
24 |
container_issue |
3 |
container_start_page |
515 |
op_container_end_page |
534 |
_version_ |
1766030110323900416 |